SOLUTION: A stadium has 53000 seats. Seats sell for ​$35 in Section​ A, ​$30 in Section​ B, and ​$25 in Section C. The number of seats in Section A equals the total number of seats

Algebra ->  Matrices-and-determiminant -> SOLUTION: A stadium has 53000 seats. Seats sell for ​$35 in Section​ A, ​$30 in Section​ B, and ​$25 in Section C. The number of seats in Section A equals the total number of seats      Log On


   

Question 1147118: A stadium has 53000 seats. Seats sell for ​$35 in Section​ A, ​$30 in Section​ B, and ​$25 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in ​$1 comma 663000 from each​ sold-out event. How many seats does each section​ hold?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
system%28A%2BB%2BC=53000%2CA=B%2BC%2C35A%2B30B%2B25C=1663000%29

system%28A%2BB%2BC=53000%2CA=B%2BC%2C35A%2B30B%2B25C=1663000%29

system%28A%2BB%2BC=53000%2CA=B%2BC%2C7A%2B6B%2B5C=332600%29

E1 & E2 :
-
2A=53000
highlight_green%28A=26500%29
-
system%28B%2BC=26500%2C7%2A26500%2B6B%2B5C=332600%29

system%28B%2BC=26500%2C6B%2B5C=147100%29

system%285B%2B5C=132500%2C%2B6B%2B5C=147100%29

E2-E1:
highlight_green%28B=14600%29
and you can find C.